Information on Result #613958

Linear OA(5126, 3125, F5, 32) (dual of [3125, 2999, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(5142, 3142, F5, 32) (dual of [3142, 3000, 33]-code) [i](u, u+v)-Construction
2Linear OA(5145, 3148, F5, 32) (dual of [3148, 3003, 33]-code) [i]
3Linear OA(5148, 3154, F5, 32) (dual of [3154, 3006, 33]-code) [i]
4Linear OOA(5126, 2440, F5, 2, 32) (dual of [(2440, 2), 4754, 33]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(5126, 2440, F5, 3, 32) (dual of [(2440, 3), 7194, 33]-NRT-code) [i]
6Digital (94, 126, 2440)-net over F5 [i]
7Linear OA(5147, 3147, F5, 32) (dual of [3147, 3000, 33]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(5131, 3130, F5, 33) (dual of [3130, 2999, 34]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
9Linear OA(5126, 3130, F5, 32) (dual of [3130, 3004, 33]-code) [i]✔
10Linear OA(5137, 3136, F5, 34) (dual of [3136, 2999, 35]-code) [i]✔
11Linear OA(5129, 3138, F5, 32) (dual of [3138, 3009, 33]-code) [i]✔
12Linear OA(5145, 3144, F5, 36) (dual of [3144, 2999, 37]-code) [i]✔
13Linear OA(5130, 3144, F5, 32) (dual of [3144, 3014, 33]-code) [i]✔
14Linear OA(5133, 3151, F5, 32) (dual of [3151, 3018, 33]-code) [i]✔
15Linear OA(5134, 3153, F5, 32) (dual of [3153, 3019, 33]-code) [i]✔
16Linear OA(5136, 3160, F5, 32) (dual of [3160, 3024, 33]-code) [i]✔
17Linear OA(5140, 3169, F5, 32) (dual of [3169, 3029, 33]-code) [i]✔
18Linear OA(5142, 3176, F5, 32) (dual of [3176, 3034, 33]-code) [i]✔
19Linear OA(5146, 3183, F5, 32) (dual of [3183, 3037, 33]-code) [i]✔
20Linear OA(5147, 3186, F5, 32) (dual of [3186, 3039, 33]-code) [i]✔
21Linear OA(5132, 3151, F5, 32) (dual of [3151, 3019, 33]-code) [i]✔
22Linear OA(5133, 3153, F5, 32) (dual of [3153, 3020, 33]-code) [i]✔
23Linear OA(5134, 3158, F5, 32) (dual of [3158, 3024, 33]-code) [i]✔
24Linear OA(5145, 3181, F5, 32) (dual of [3181, 3036, 33]-code) [i]✔
25Linear OA(5147, 3148, F5, 36) (dual of [3148, 3001, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(5146, 3146, F5, 36) (dual of [3146, 3000, 37]-code) [i]✔
27Linear OA(5138, 3138, F5, 34) (dual of [3138, 3000, 35]-code) [i]✔
28Linear OA(5128, 3133, F5, 32) (dual of [3133, 3005, 33]-code) [i]✔
29Linear OA(5132, 3148, F5, 32) (dual of [3148, 3016, 33]-code) [i]✔
30Linear OA(5131, 3146, F5, 32) (dual of [3146, 3015, 33]-code) [i]✔
31Linear OA(5135, 3155, F5, 32) (dual of [3155, 3020, 33]-code) [i]✔